PUBLIKATIONEN
Ph.D. Dissertation:Titel: Interaction problems between a deformable structure and a viscous incompressible fluid.
Abstrakt: abstract. Manuskript: thesis. Folien der Verteidigung: slides.
• Habilitation Dissertation:
Titel: Optimization, control and simulation problems related to coupled systems of partial differential equations.
Manuskript: pdf.
ARTIKEL
21. S. CourtModeling defibrillation as a hybrid optimal control problem constrained with hyperelasticity and the global injectivity condition.
Vorgelegt. pdf
20. S. Court
A damped elastodynamics system under the global injectivity condition: Local wellposedness in Lp-spaces.
In NoDEA: Nonlinear Differential Equations and Applications, 2024. pdf
19. S. Court
Approximate controllability of a 2D linear system related to the motion of two fluids with surface tension.
In Proceedings in Applied Mathematics and Mechanics, 2023. pdf
18. S. Court
Feedback stabilization of a two-fluid surface tension system modeling the motion of a soap bubble
at low Reynolds~number: The two-dimensional case.
Angenommen in Journal of Mathematical Fluid Mechanics. pdf
17. S. Court
Relaxation approach for learning regularizers by neural networks for a class of optimal control problems.
In Inverse Problems, 39(12), 2023. pdf
16. N. Gruber, J. Schwab, S. Court, E. Gizewski, M. Haltmeier
Variational multichannel multiclass segmentation using unsupervised lifting with CNNs.
In Proceeding of the 20th International Conference of Numerical Analysis and Applied Mathematics. pdf
15. N. Gruber, J. Schwab, S. Court, E. Gizewski, M. Haltmeier
Lifting-based variational multiclass segmentation algorithm:
Design, convergence analysis, and implementation with applications in medical imaging.
In Journal of Computational and Applied Mathematics, 2024. pdf
14. S. Court, K. Kunisch
Design of the monodomain model by artificial neural networks.
In Discrete and Continuous Dynamical Systems - Series A veröffentlicht, 42(12):6031--6061, 2022. pdf
13. S. Court
A fictitious domain approach for a mixed finite element method
solving the two-phase Stokes problem with surface tension forces.
In Journal of Computational and Applied Mathematics veröffentlicht, 359:30--54, 2019. pdf
12. S. Court, K. Kunisch, L. Pfeiffer
Optimal control problem for systems of conservation laws, with geometric parameter,
and application to the Shallow-Water Equations.
In Interfaces and Free Boundaries veröffentlicht, 21:273--311, 2019. pdf
11. S. Court, K. Kunisch, L. Pfeiffer
Hybrid Optimal Control Problems for a Class of Semilinear Parabolic Equations.
In Discrete and Continuous Dynamical Systems - Series S veröffentlicht, 11(6):1031--1060, 2018. pdf
10. S. Court, K. Kunisch, L. Pfeiffer
Optimal Control for a Class of Infinite Dimensional Systems Involving an L∞-term in the Cost Functional.
In ZAMM veröffentlicht, 98(4):569--588, 2018. pdf
9. S. Court, K. Kunisch
Almost global existence of weak solutions for the nonlinear elastodynamics system for a class of strain energies.
In Advances in Differential Equations veröffentlicht, 23(1-2):135--160, 2018. pdf
8. S. Court, O. Bodart, V. Cayol, J. Koko
Fictitious domain methods for fracture models in elasticity.
In Progress in Industrial Mathematics at ECMI 2014 veröffentlicht, pp. 575--585, 2017. pdf
7. O. Bodart, S. Court, V. Cayol, J. Koko
XFEM-based fictitious domain method for linear elasticity model with crack.
In SIAM Journal on Scientific Computing veröffentlicht, 38(2):B219--B246, 2016. pdf
6. S. Court
Existence of 3D strong solutions for a system modeling a deformable solid in a viscous incompressible fluid.
In Journal of Dynamics and Differential Equations veröffentlicht (first online 09/2015), 29(2):737--782, 2017. pdf
5. S. Court, M. Fournié, A. Lozinski
A fictitious domain approach for Fluid-Structure Interactions based on the eXtended Finite Element Method.
In ESAIM: Procs veröffentlicht, no. 45, pp. 308--317, 2014. pdf
4. S. Court, M. Fournié
A fictitious domain finite element method for simulations of fluid-structure interactions:
The Navier-Stokes equations coupled with a moving solid. In Journal of Fluids and Structures veröffentlicht, 55:398--408, 2015. pdf
3. S. Court
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid.
Part I: The linearized system. In Evolution Equations and Control Theory veröffentlicht, 3(1):59--82, 2014. pdf
2. S. Court
Stabilization of a fluid-solid system, by the deformation of the self-propelled solid.
Part II: The nonlinear system. In Evolution Equations and Control Theory veröffentlicht, 3(1):83--118, 2014. pdf
1. S. Court, M. Fournié, A. Lozinski
A fictitious domain approach for the Stokes problem based on the extended finite element method.
In International Journal for Numerical Methods in Fluids veröffentlicht, 74(2):73--99, 2014. pdf
POSTERS
• Journées EDP-Normandie 2013, Caen (France):Stabilisation d'un système couplé fluide-solide, par la déformation du solide autopropulsé. poster
• American Geophysical Union Fall Meeting 2014, San Francisco (USA):
Fictitious domain methods for fracture models in elasticity. poster